Jorge Sotomayor, Michail Zhitomirskii
Abstract
We obtain a smooth and analytic local classification of pairs of foliations of theplane assuming that one of the foliations is defined by a nonsingular vector field and theother foliation is defined by a singular vector field.
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We obtain a smooth and analytic local classification of pairs of foliations of theplane assuming that one of the foliations is defined by a nonsingular vector field and theother foliation is defined by a singular vector field.
Key concepts: Vector field, Foliation (geology), Invertible matrix, Pure mathematics, Plane (geometry), Solenoidal vector field, Field (mathematics), Mathematics